Thomas Gravier

Thomas Gravier

(he/him)

Researcher in Applied Mathematics & Machine Learning

École Normale Supérieure Paris-Saclay

École Normale Supérieure (Ulm) — IBENS

Professional Summary

I recently graduated from the Master MVA with highest honours at École Normale Supérieure Paris-Saclay, and completed my research period at the École Normale Supérieure de Paris (IBENS, ENS Ulm).
My work focused on multi-marginal Schrödinger bridges, bridging probability theory, optimal transport, and deep generative modeling.
This research led to a paper submission to ICLR 2026, extending Schrödinger bridges to high-dimensional video and biological data.

I am now seeking a PhD position — academic or CIFRE — in machine learning theory, stochastic processes, or optimal transport, where I can further explore the intersection of rigorous mathematics and generative modeling.

Beyond research, I am passionate about sailing expeditions, paragliding, and mountaineering, constantly seeking exploration and challenge both intellectually and physically.

Education

Master 2 MVA (Mathematics, Vision & Learning)

École Normale Supérieure Paris-Saclay

Master in Engineering

Arts et Métiers

CPGE PCSI-PC

Lycée Thiers, Marseille

Interests

Generative Modeling Information Geometry Optimal Transport Applied Probability Scientific Computing
🔬 Research Focus

My research lies at the intersection of optimal transport, diffusion models, and generative modeling. I am particularly interested in building both the theoretical foundations and practical algorithms for multi-marginal problems in machine learning.

Current Work

  • Multi-marginal Schrödinger Bridge Matching: Extending diffusion models to handle multiple marginal distributions, with applications to video generation and temporal dynamics inference
  • Optimal Transport Theory: Mathematical foundations of generative models and their applications to biological data analysis
  • Information Geometry: Geometric perspectives on learning algorithms and optimization

Research Interests

  • Generative Modeling & Diffusion Processes
  • Optimal Transport & Wasserstein Distances
  • Information Geometry & Geometric Deep Learning
  • Mathematical Foundations of AI

Currently seeking a PhD position (CIFRE or academic) in applied mathematics and machine learning.

Publications
Research Projects

Here are several research and coding projects carried out during my year in the Master MVA (Mathematics, Vision, Learning) at ENS Paris-Saclay and my research period at ENS Ulm.
For a more exhaustive list, including technical reports and code, visit the GitHub repository:
github.com/tgravier/MVA-Portfolio

Multi Marginal Temporal Schrödinger Bridge for Video Generation from Static Unpaired Data featured image

Multi Marginal Temporal Schrödinger Bridge for Video Generation from Static Unpaired Data

Novel approach for video generation using multi-marginal transport and Schrödinger bridge methods. Generates dynamic video sequences from static, unpaired image data through …

Thomas Gravier
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Data Generation in AI through Transport and Denoising – EchoCem Challenge featured image

Data Generation in AI through Transport and Denoising – EchoCem Challenge

Segmentation of ultrasonic well imagery using transport and denoising architectures. Ranked 1st on both public and private leaderboards in the Collège de France EchoCem challenge.

Thomas Gravier
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Learning Gradients of Convex Functions with Monotone Gradient Networks featured image

Learning Gradients of Convex Functions with Monotone Gradient Networks

Study and implementation of Monotone Gradient Networks (MGN) for learning gradients of convex functions, optimal transport, and generative modeling on high-dimensional data.

Thomas Gravier
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Deep Learning & Signal Processing – Wave-U-Net Source Separation featured image

Deep Learning & Signal Processing – Wave-U-Net Source Separation

Reimplementation of Wave-U-Net for joint speech and noise separation directly in the time domain. Developed an end-to-end 1D U-Net architecture trained from scratch for robust …

Thomas Gravier
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Topological Data Analysis – PersLay: Neural Layers for Persistence Diagrams featured image

Topological Data Analysis – PersLay: Neural Layers for Persistence Diagrams

Presentation and reproduction of PersLay (Carrière et al., 2020), a neural network layer designed to process persistence diagrams. Explored graph topology embeddings, heat kernel …

Thomas Gravier
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Computational Statistics – Gradient Boosting and Stochastic Sampling featured image

Computational Statistics – Gradient Boosting and Stochastic Sampling

Reimplementation and theoretical study of Gradient Boosting as functional optimization, following Biau & Cadre (Annals of Statistics, 2021). Additional experiments explored …

Thomas Gravier
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Probabilistic Graphical Models – Generative vs Discriminative Robustness in Medical Imaging featured image

Probabilistic Graphical Models – Generative vs Discriminative Robustness in Medical Imaging

Comparative study of generative and discriminative classifiers under adversarial and non-adversarial perturbations on medical imaging data. Implementation of GBZ and DBX models and …

Thomas Gravier
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Advanced Learning for Text and Graph Data (ALTEGRAD) featured image

Advanced Learning for Text and Graph Data (ALTEGRAD)

Graph generation challenge using a Neural Graph Generator with diffusion and variational autoencoders. Our final model, based on SAGEConv and a modified decoder, achieved the 3rd …

Thomas Gravier
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Experience

  1. Research Intern

    École Normale Supérieure (Ulm) — IBENS
    I conducted research on Dynamical Multi-Marginal Schrödinger Bridges and their application to video generation from unpaired static data.
    The work bridges stochastic processes, entropy-regularized optimal transport, and generative modeling, leading to a paper submission to ICLR 2026.
  2. Research Engineer

    French Space Agency (CNES)
    I worked on inverse problem algorithms, Physics-Informed Machine Learning, and signal processing for fluid dynamics and aerospace applications.
  3. Research Intern

    French Space Agency (CNES)
    I developed mathematical models for capillary-driven fluid dynamics and contributed to a filling system tested in microgravity during the 2022 parabolic flight campaign.

Education

  1. Master 2 MVA (Mathematics, Vision & Learning)

    École Normale Supérieure Paris-Saclay
    Graduated with Highest Honours (average grade: 17.37/20). Focused on applied mathematics, vision, learning, and optimal transport.
  2. Master in Engineering

    Arts et Métiers
    Highest honours (top 10%). Specialized in applied mathematics, optimization, modeling & simulation.
  3. CPGE PCSI-PC

    Lycée Thiers, Marseille
    Intensive preparatory classes in mathematics and physics for engineering schools.
Skills & Hobbies
Technical Skills
Applied Mathematics & Optimization
Machine Learning & Generative Modeling
Scientific Computing
Hobbies & Passions
Sailing Expeditions
Paragliding & Mountaineering
Trekking & Climbing
Awards
EDF Excellence Scholarship
EDF Department of Mathematics & Physics ∙ January 2024
Scholarship awarded for excellence in Master’s studies in Mathematics.
Best Research Project
French Space Agency ∙ October 2022
Award included a microgravity test session during a parabolic flight campaign.